Find an equation of a plane containing the line r (-3, -3, -5)+t(4, 4, -2) which is parallel to the plane-2x + 1y2z = 8 in which the coefficient of x is -2. = 0.

Q: Find the stationary point of on the plane F(x, y, z) = x²y³ 4 3 and the value of F at that point. b…

A: Given: find stationary point of   F(x,y,z) = x4 . y3 . z2   ....(1)   On the plane   5x + 4y - 2z =…

Q: Let X be a random variable taking three values: P(X = a₁) = P₁, P(X=a₂) = P2. P(X=03) = P3, where p₁…

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Q: Name some useful strategies to prevent the round off error from growing?

A: A round off error,also called a rounding error is a difference between the result produced by a…

Q: 2. Determine an equation for a cosine function that has a period of 1800°, an amplitude of 3, a…

A: Given that Period =1800°amplitude=3vertical shift =4 phase shift =225°

Q: 3. (2y-3x)dx+xdy = 0

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Q: Question Use linear method to solve only one of the follwing D.E. 1- xydx + x²dx =xdy dy 2-x+y=xy-²…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Please work out the solution for x(t). (Hint: Assume x(t) = ce^t) (1) Find X + 4x(t) + 3x(t) = 0.…

A: Given: Differential equation: 1) x¨t+4x˙t+3xt=0 2) x¨t+4x˙t+3xt=1 To Find: Solution xt of the given…

Q: -y" - y = f(x) with boundary conditions y(0) = 0 and y(1) = 0. Obtain the Wronskian. Find the…

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Q: Q1 A control system is described by the block diagram in Figure 1 where R(s) is reference input and…

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Q: Suppose that: A = {1, 2, 3}, B = {1, 2, 2, 3}, C = Ø, D = {Ø}, E = {}, F = {2, 1, 2}, G = {1, 2,…

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Q: Eight dimes make up what percent of a dollar

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Q: Use the tangent line to the curve x² + y² = x + y at the point (1, 1) to approximate the…

A: Given information Curve: x7+y2=x+y Point: 1,1 Approximate the y-coordinate of a point on this curve…

Q: 3. Cars are shipped from three distribution centers to five dealers. The shipping cost between each…

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Q: - A = {1²³ = 11 € N₂₁ +1}. : - Let B be a bounded from above subset of R. Prove that -B + A is…

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Q: - Integrating Factors Found by Inspection 3._ y(x²y² −m)dx+x(x²y² +n)dy=0_whenx = e, y = 1

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Q: Matrix L is a 3 ⨯ 5 matrix, matrix M is a 5 ⨯ 5 matrix, matrix N is a 3 ⨯ 3 matrix, and matrix P is…

A: Matrix is defined as the arrangement of the elements in a row and in a column into a rectangular…

Q: Using composite trapezoidal rule evaluate the integral ∫pi/2 0 x^2e^2dx , n=7

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Q: 13 x=a₁ x=b, a<b a&b are integer |x+1| + |x-1) = 4₁ x ER Find 2real solution. A x= - 4. & 1

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Q: Fin the inverse of the following using Convolution theorem (i) 21 3s² + 5s-2

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Q: 2 S=1+2+3+---+ 100 = 5

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Q: Determine the centroid of a solid generated by revolving the region bounded by y = 2 - x^2, x = 0, y…

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Q: Calculate the value of the error with one decimal place for: 2 = x Y where x = 38 +/- 9% Please…

A: z=x·yx=38±9%y=7±2%

Q: Let : G→G' be a homomorphism of groups, and let H be a subgroup of G. Let a E G. Prove that o(a) =…

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Q: 18. sin 2: dz 62-T fo where C is the circle |z| = 3.

A: The given integral ∮Csin2z dz6z-π, where C is the circle z=3. We have to find the integral value.

Q: Ive the following Fredholm integro-differential equations by using the direct com- tation method +…

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Q: Given F(t) = (t, cos 2t, sin 2t) find the unit tangent and unit normal vectors, T and N. Then show…

A: Two vectors are said to be orthogonal vectors if their dot product is zero. i.e.…

Q: Q3. Consider the following optimal control problem. min [~ ² {p(x(t))² + (1 - 4) (u(t))²} dt s.t.…

A: As per the question we are given an constrained optimal control problem where the system is modelled…

Q: Using PFE where required, find x(t) for…

A: To Find xt for: (a) Xs=ss+1s+2s+3s+4. (b) Xs=s+2s+12. (c) Xs=1s2+s+1. (d) Xs=s+1ss+4s+3e-0.5s.

Q: Find the volume bounded by the graph of f(x, y) = x² + y2, the rectangle [-1, 1] × [-6, -5], and the…

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Q: Find the limit of the sequence\[\{\sqrt{2}, \sqrt{2 \sqrt{2}}, \sqrt{2 \sqrt{2 \sqrt{2}}}, \dots\}\]

A: Find the limit of the sequence

Q: Prepare a graph of the constraints and objective function and solve the following linear programming…

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Q: Calculate diam(C5), i.e. find the diameter of the chordless cycle on 5 vertices.

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Q: Let be unknown constants and consider the linear system: Nu₂ 10 X 2 x -7x + + 5 y 9 y + 33 y + 4 z =…

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Q: Values of f(x, y) are shown in the table below. x= 3x3.1 7 9 5 7 y = 4.6 3 5 Let R be the rectangle…

A: The given rectangle 3≤x≤3.2, 4≤y≤4.6. Also ∆x=0.1, ∆y=0.3. We have to find Riemann sums over and…

Q: 45. Use the map sin u sin v X = cos v' cos u to evaluate the integral dx dy 1 – x²y2 This integral…

A: Integration in two variables gives an idea of volume of some function in 3-d space. There are two…

Q: Look at the file Q3FSM.pdf which shows a State Transition Diagram with input alphabet {0,1} and…

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Q: Find the integral ∫Cxdx+ydy +(x+y−1)dz along the curve C, where C is the line segment AB traversed…

A: Find the integral ∫Cxdx+ydy +(x+y−1)dz along the curve C, where C is the line segment AB traversed…

Q: Solve the initial value problem The solution is x(t)= 1 4 4t +=e + 1/4 - 12/²1 −2+t+2e¯t + te-t 9 -e…

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Q: OBTAIN THE GENERAL SOLUTION USING THE APPROPRIATE METHOD 4. (x-y+3)dx+(2x-4y-3)dy=0

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Q: 2. Determine the centroid of a solid generated by revolving the region bounded by y = 2- x², x = 0,…

A: Given: y=2-x2 , x=0 , y=0 about the y-axis. To Find: Centroid of a solid generated by revolving the…

Q: 5. Find the area of the surface formed by revolving the graph of y= 8 about the x-axis √x + 2 from x…

A: Given: y=x3+2, x=1, x=8 We have to find an area of the surface of revolving about y-axis.

Q: Homework Solve X g + x j Series with Power - 10 by using y(₁) = 0 g(0)=3

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Q: a. Find the critical points of the following function on the given interval. b. Use a graphing…

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Q: Identify the geometric shape that is represented by the orthographic drawing. Explain your choice.…

A: To identify the geometric shape that is represented by the orthographic drawing , whose top view is…

Q: 1. Leather Limited manufactures two types of belts: the deluxe model and the regular model. Each…

A: (a) Suppose, the number of deluxe belts and regular belts be x,y respectively. Suppose, the total…

Q: ne Zt. Solve the congruence x = n" (mod p), where p is a prime of the form 4n ± 1,

A: The answer provided below has been developed in a clear step by step manner.

Q: a. Suppose that f(x) is differentiable for all x in [0, 1] and that f(0) = 0. Define sequence {a,}…

A: Suppose f(x) is a differentiable function and a sequence is defined as an=nf1/n. (a) To Show:…

Q: . Which of the following families of real functions are algebras of functions? (For each, either…

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Q: Find an equation of a plane through the point (-3, -1, 1) which is parallel to the plane -5x - 3y +…

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Q: 5. The figure below is a scale drawing of a garden. If the scale used is inch = 3 feet, then what is…

A: The garden has measures 12in and 134 in. We have to find the perimeter of the garden.